{"id":598,"date":"2023-07-29T09:23:58","date_gmt":"2023-07-29T09:23:58","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e8%bf%9e%e7%bb%ad%e6%80%a7%e6%a0%a1%e6%ad%a3\/"},"modified":"2023-07-29T09:23:58","modified_gmt":"2023-07-29T09:23:58","slug":"%e8%bf%9e%e7%bb%ad%e6%80%a7%e6%a0%a1%e6%ad%a3","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e8%bf%9e%e7%bb%ad%e6%80%a7%e6%a0%a1%e6%ad%a3\/","title":{"rendered":"\u7edf\u8ba1\u5b66\u4e2d\u8fde\u7eed\u6027\u6821\u6b63\u7684\u7b80\u5355\u89e3\u91ca"},"content":{"rendered":"

<\/p>\n

\n

\u5f53\u60a8\u60f3\u8981\u4f7f\u7528\u8fde\u7eed\u5206\u5e03\u6765\u8fd1\u4f3c\u79bb\u6563\u5206\u5e03\u65f6\uff0c\u5c06\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63<\/strong>\u3002<\/span>\u901a\u5e38\uff0c\u5f53\u60a8\u60f3\u8981\u4f7f\u7528\u6b63\u6001\u5206\u5e03<\/a>\u6765\u8fd1\u4f3c\u4e8c\u9879\u5f0f\u5206\u5e03<\/a>\u65f6\uff0c\u4f1a\u4f7f\u7528\u5b83\u3002<\/span><\/p>\n

\u56de\u60f3\u4e00\u4e0b\uff0c\u4e8c\u9879\u5f0f\u5206\u5e03\u544a\u8bc9\u6211\u4eec\u5728n \u6b21<\/em>\u8bd5\u9a8c\u4e2d\u53d6\u5f97x<\/em>\u6210\u529f\u7684\u6982\u7387\uff0c\u5047\u8bbe\u5355\u6b21\u8bd5\u9a8c\u6210\u529f\u7684\u6982\u7387\u4e3ap<\/em> \u3002<\/span>\u8981\u56de\u7b54\u6709\u5173\u4e8c\u9879\u5206\u5e03\u6982\u7387\u7684\u95ee\u9898\uff0c\u6211\u4eec\u53ef\u4ee5\u7b80\u5355\u5730\u4f7f\u7528\u4e8c\u9879\u5206\u5e03\u8ba1\u7b97\u5668<\/a>\uff0c\u4f46\u6211\u4eec\u4e5f\u53ef\u4ee5\u4f7f\u7528\u5177\u6709\u8fde\u7eed\u6027\u6821\u6b63\u7684\u6b63\u6001\u5206\u5e03\u6765\u8fd1\u4f3c<\/em>\u6982\u7387\u3002<\/span><\/p>\n

\u8fde\u7eed\u6027\u6821\u6b63\u662f\u6307\u4ece\u79bb\u6563 x \u503c\u4e2d<\/strong>\u52a0\u4e0a\u6216\u51cf\u53bb 0.5<\/strong> \u3002<\/span><\/p>\n

\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u60f3\u8981\u8ba1\u7b97\u4e00\u679a\u786c\u5e01\u5728 100 \u6b21\u629b\u63b7\u8fc7\u7a0b\u4e2d\u6b63\u9762\u671d\u4e0a\u7684\u6982\u7387\u5c0f\u4e8e\u6216\u7b49\u4e8e 45 \u6b21\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u8981\u627e\u5230 P(X \u2264 45)\u3002\u8981\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u6765\u8fd1\u4f3c\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u6211\u4eec\u9700\u8981\u627e\u5230 P(X \u2264 45.5)\u3002<\/span><\/p>\n

\u4e0b\u8868\u663e\u793a\u4e86\u4f55\u65f6\u5e94\u8be5\u6dfb\u52a0\u6216\u51cf\u53bb 0.5\uff0c\u5177\u4f53\u53d6\u51b3\u4e8e\u60a8\u5c1d\u8bd5\u67e5\u627e\u7684\u6982\u7387\u7c7b\u578b\uff1a<\/span><\/p>\n\n\n\n\n\n\n\n\n
\u4f7f\u7528\u4e8c\u9879\u5f0f\u5206\u5e03<\/strong><\/span><\/th>\n\u4f7f\u7528\u5177\u6709\u8fde\u7eed\u6027\u6821\u6b63\u7684\u6b63\u6001\u5206\u5e03<\/strong><\/span><\/th>\n<\/tr>\n
X = 45<\/span><\/td>\n 44.5 < X < 45.5<\/span><\/td>\n<\/tr>\n
X\u226445<\/span><\/td>\n X < 45.5<\/span><\/td>\n<\/tr>\n
X < 45<\/span><\/td>\n X < 44.5<\/span><\/td>\n<\/tr>\n
X\u226545<\/span><\/td>\n X > 44.5<\/span><\/td>\n<\/tr>\n
X > 45<\/span><\/td>\n X > 45.5<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

\u7b14\u8bb0\uff1a<\/strong><\/span><\/p>\n

\u4ec5\u5f53 n*p \u548c n*(1-p) \u90fd\u81f3\u5c11\u4e3a 5 \u65f6\uff0c\u624d\u9002\u5408\u5bf9\u6b63\u6001\u5206\u5e03\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63\u4ee5\u8fd1\u4f3c\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/span><\/p>\n

\u4f8b\u5982\uff0c\u5047\u8bbe n = 15 \u4e14 p = 0.6\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1a<\/span><\/p>\n

n*p = 15 * 0.6 = 9<\/span><\/p>\n

n*(1-p) = 15 * (1 \u2013 0.6) = 15 * (0.4) = 6<\/span><\/p>\n

\u7531\u4e8e\u8fd9\u4e24\u4e2a\u6570\u5b57\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e 5\uff0c\u56e0\u6b64\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63\u662f\u53ef\u4ee5\u63a5\u53d7\u7684\u3002<\/span><\/p>\n<\/blockquote>\n

\u4ee5\u4e0b\u793a\u4f8b\u8bf4\u660e\u5982\u4f55\u5bf9\u6b63\u6001\u5206\u5e03\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63\u4ee5\u903c\u8fd1\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/span><\/p>\n

\u8fde\u7eed\u6027\u6821\u6b63\u7684\u5e94\u7528\u793a\u4f8b<\/strong><\/span><\/h2>\n

\u5047\u8bbe\u6211\u4eec\u60f3\u77e5\u9053\u629b\u63b7 100 \u6b21\u786c\u5e01\uff0c\u6b63\u9762\u671d\u4e0a\u7684\u6b21\u6570\u5c11\u4e8e\u6216\u7b49\u4e8e 43 \u6b21\u7684\u6982\u7387\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff1a<\/span><\/p>\n

n = \u8bd5\u9a8c\u6b21\u6570 = 100<\/span><\/p>\n

X = \u6210\u529f\u6b21\u6570 = 43<\/span><\/p>\n

p = \u7ed9\u5b9a\u8bd5\u9a8c\u7684\u6210\u529f\u6982\u7387 = 0.50<\/span><\/p>\n

\u6211\u4eec\u53ef\u4ee5\u5c06\u8fd9\u4e9b\u6570\u5b57\u4ee3\u5165\u4e8c\u9879\u5f0f\u5206\u5e03\u8ba1\u7b97\u5668<\/a>\uff0c\u53ef\u4ee5\u770b\u5230\u786c\u5e01\u6b63\u9762\u671d\u4e0a\u7684\u6b21\u6570\u5c0f\u4e8e\u6216\u7b49\u4e8e 43 \u6b21\u7684\u6982\u7387\u4e3a0.09667<\/strong> \u3002<\/span> <\/p>\n

\"\u8fde\u7eed\u6027\u6821\u6b63\u793a\u4f8b\"<\/p>\n

\u8981\u901a\u8fc7\u5bf9\u6b63\u6001\u5206\u5e03\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63\u6765\u8fd1\u4f3c\u4e8c\u9879\u5f0f\u5206\u5e03\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/span><\/p>\n

\u6b65\u9aa4 1\uff1a\u9a8c\u8bc1 n*p \u548c n*(1-p) \u90fd\u81f3\u5c11\u4e3a 5<\/strong> \u3002<\/span><\/p>\n

n*p = 100*0.5 = 50<\/p>\n

n*(1-p) = 100*(1 \u2013 0.5) = 100*0.5 = 50<\/p>\n

\u4e24\u4e2a\u6570\u5b57\u90fd\u5927\u4e8e\u6216\u7b49\u4e8e 5\uff0c\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u7ee7\u7eed\u3002<\/span><\/p>\n

\u6b65\u9aa42\uff1a\u786e\u5b9a\u662f\u52a0\u8fd8\u662f\u51cf0.5<\/strong><\/span><\/p>\n

\u53c2\u8003\u4e0a\u8868\uff0c\u6211\u4eec\u770b\u5230\u5f53\u6211\u4eec\u5904\u7406 X \u2264 43 \u5f62\u5f0f\u7684\u6982\u7387\u65f6\uff0c\u6211\u4eec\u5e94\u8be5\u52a0\u4e0a<\/strong>0.5<\/strong> \u3002\u56e0\u6b64\uff0c\u6211\u4eec\u4f1a\u627e\u5230 P(X< 43.5)\u3002<\/span><\/p>\n

\u6b65\u9aa4 3\uff1a\u6c42\u4e8c\u9879\u5f0f\u5206\u5e03\u7684\u5747\u503c (\u03bc) \u548c\u6807\u51c6\u5dee (\u03c3)\u3002<\/strong><\/span><\/p>\n

\u00b5<\/strong> = n*p = 100*0.5 = 50<\/span><\/p>\n

\u03c3<\/strong> = \u221a n*p*(1-p)<\/span> = \u221a 100*.5*(1-.5)<\/span> = \u221a 25<\/span> = 5<\/span><\/p>\n

\u6b65\u9aa4 4\uff1a\u4f7f\u7528\u4e0a\u4e00\u6b65\u4e2d\u627e\u5230\u7684\u5e73\u5747\u503c\u548c\u6807\u51c6\u5dee\u6c42\u51fa z \u5206\u6570\u3002<\/strong><\/span><\/p>\n

z<\/strong> = (x \u2013 \u03bc) \/ \u03c3 = (43.5 \u2013 50) \/ 5 = -6.5 \/ 5 = -1.3\u3002<\/span><\/p>\n

\u6b65\u9aa4 5\uff1a\u4f7f\u7528 Z \u8868\u67e5\u627e\u4e0e z \u5206\u6570\u76f8\u5173\u7684\u6982\u7387\u3002<\/strong><\/span><\/p>\n

\u6839\u636e\u8868 Z\uff0c\u4e0e z = -1.3 \u76f8\u5173\u7684\u6982\u7387\u4e3a0.0968<\/strong> \u3002<\/span> <\/p>\n

\"\u67e5\u627e\u8fde\u7eed\u6027\u6821\u6b63\u7684<\/p>\n

\u56e0\u6b64\uff0c\u6211\u4eec\u4f7f\u7528\u4e8c\u9879\u5206\u5e03\u53d1\u73b0\u7684\u7cbe\u786e\u6982\u7387\u662f0.09667<\/strong> \uff0c\u800c\u6211\u4eec\u4f7f\u7528\u6b63\u6001\u5206\u5e03\u7684\u8fde\u7eed\u6027\u6821\u6b63\u53d1\u73b0\u7684\u8fd1\u4f3c\u6982\u7387\u662f0.0968<\/strong> \u3002\u8fd9\u4e24\u4e2a\u503c\u76f8\u5f53\u63a5\u8fd1\u3002<\/span><\/p>\n

\u4f55\u65f6\u4f7f\u7528\u8fde\u7eed\u6027\u6821\u6b63<\/strong><\/span><\/h2>\n

\u5728\u73b0\u4ee3\u7edf\u8ba1\u8f6f\u4ef6\u51fa\u73b0\u5e76\u4e14\u8ba1\u7b97\u5fc5\u987b\u624b\u52a8\u5b8c\u6210\u4e4b\u524d\uff0c\u8fde\u7eed\u6027\u6821\u6b63\u901a\u5e38\u7528\u4e8e\u67e5\u627e\u6d89\u53ca\u79bb\u6563\u5206\u5e03\u7684\u6982\u7387\u3002<\/span>\u5982\u4eca\uff0c\u8fde\u7eed\u6027\u4fee\u6b63\u5728\u8ba1\u7b97\u6982\u7387\u4e2d\u53d1\u6325\u7684\u4f5c\u7528\u8d8a\u6765\u8d8a\u5c0f\uff0c\u56e0\u4e3a\u6211\u4eec\u901a\u5e38\u53ef\u4ee5\u4f9d\u9760\u8f6f\u4ef6\u6216\u8ba1\u7b97\u5668\u6765\u8ba1\u7b97\u6982\u7387\u3002<\/span><\/p>\n

\u76f8\u53cd\uff0c\u5b83\u53ea\u662f\u7edf\u8ba1\u5b66\u8bfe\u7a0b\u4e2d\u6db5\u76d6\u7684\u4e00\u4e2a\u4e3b\u9898\uff0c\u7528\u4e8e\u8bf4\u660e\u4e8c\u9879\u5f0f\u5206\u5e03\u548c\u6b63\u6001\u5206\u5e03\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u5e76\u8868\u660e\u6b63\u6001\u5206\u5e03\u53ef\u4ee5\u901a\u8fc7\u5e94\u7528\u8fde\u7eed\u6027\u6821\u6b63\u6765\u903c\u8fd1\u4e8c\u9879\u5f0f\u5206\u5e03\u3002<\/span><\/p>\n

\u8fde\u7eed\u6027\u6821\u6b63\u8ba1\u7b97\u5668<\/strong><\/span><\/h2>\n

\u4f7f\u7528\u8fde\u7eed\u6027\u6821\u6b63\u8ba1\u7b97\u5668<\/a>\u81ea\u52a8\u5c06\u8fde\u7eed\u6027\u6821\u6b63\u5e94\u7528\u4e8e\u6b63\u6001\u5206\u5e03\u4ee5\u8fd1\u4f3c\u4e8c\u9879\u5f0f\u6982\u7387\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

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